Configurational temperature estimator from Schwinger-Dyson identity equals 1 in Gross-Witten-Wadia, quartic double-well, and Gaussian ensembles, with finite-N isotropic-anisotropic cancellation and use as Monte Carlo diagnostic.
Microscopic expressions for the thermodynamic temperature
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abstract
We show that arbitrary phase space vector fields can be used to generate phase functions whose ensemble averages give the thermodynamic temperature. We describe conditions for the validity of these functions in periodic boundary systems and the Molecular Dynamics (MD) ensemble, and test them with a short-ranged potential MD simulation.
fields
hep-th 1years
2026 1verdicts
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Configurational Temperature in Matrix Models and Random Matrix Ensembles
Configurational temperature estimator from Schwinger-Dyson identity equals 1 in Gross-Witten-Wadia, quartic double-well, and Gaussian ensembles, with finite-N isotropic-anisotropic cancellation and use as Monte Carlo diagnostic.